STATS 250 Lecture Notes - Lecture 15: Statistical Significance, Confidence Interval, Normal Distribution
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Chapter 12 introduced us to the logic and steps of hypothesis testing for learning about a population proportion and for the difference between two population proportions. If the distribution of a quantitative variable is highly skewed, we should consider analyzing the median rather than the mean. A relevant statistic is calculated from sample information and summarized into a. Test statistic. we measure the difference between the sample statistic and the null value using the standardized statistic: For hypotheses about proportions, the standardized statistic is called a. A p value is computed based on the standardized test statistic. the p value is calculated by temporarily assuming the null hypothesis to be true and then calculating the probability that the test statistic could be as large in magnitude as it is (or larger) in the direction(s) specified by the alternative hypothesis. In many research articles, p values are simply reported and readers are left to draw their own conclusions.